3(2x+1)=20(5x-5)

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Solution for 3(2x+1)=20(5x-5) equation:


Simplifying
3(2x + 1) = 20(5x + -5)

Reorder the terms:
3(1 + 2x) = 20(5x + -5)
(1 * 3 + 2x * 3) = 20(5x + -5)
(3 + 6x) = 20(5x + -5)

Reorder the terms:
3 + 6x = 20(-5 + 5x)
3 + 6x = (-5 * 20 + 5x * 20)
3 + 6x = (-100 + 100x)

Solving
3 + 6x = -100 + 100x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-100x' to each side of the equation.
3 + 6x + -100x = -100 + 100x + -100x

Combine like terms: 6x + -100x = -94x
3 + -94x = -100 + 100x + -100x

Combine like terms: 100x + -100x = 0
3 + -94x = -100 + 0
3 + -94x = -100

Add '-3' to each side of the equation.
3 + -3 + -94x = -100 + -3

Combine like terms: 3 + -3 = 0
0 + -94x = -100 + -3
-94x = -100 + -3

Combine like terms: -100 + -3 = -103
-94x = -103

Divide each side by '-94'.
x = 1.095744681

Simplifying
x = 1.095744681

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